Electrons in a CRO are deflected by two mutually perpendicular electric field such that the displacement is given by two equations in X and Y axes respectively.Sketch the path showing the movement of electrons on the CRO.
To sketch the path showing the movement of electrons on a Cathode Ray Oscilloscope (CRO), we first need to understand the equations that describe the displacement of electrons in the X and Y axes.
Let's say the displacement in the X axis is given by the equation: X(t) = A*cos(ωx*t)
Here, A represents the maximum displacement, ωx is the angular frequency, and t is time.
Similarly, the displacement in the Y axis is given by the equation: Y(t) = B*sin(ωy*t)
Here, B represents the maximum displacement, ωy is the angular frequency, and t is time.
To sketch the path, we can start by choosing a time interval and plotting points at different time increments. Let's say we choose a time interval from t = 0 to t = T, where T is the period of the wave.
1. Choose a starting point (X(0), Y(0)) at t = 0.
2. Plot the initial point on the graph.
3. Choose a small time increment (Δt), for example, Δt = T/10.
4. Calculate the new X and Y coordinates for the next point using the X(t) and Y(t) equations.
- Xnew = X(old) + X(Δt)
- Ynew = Y(old) + Y(Δt)
5. Plot the new point on the graph.
6. Repeat steps 4 and 5 until you reach t = T.
By connecting the plotted points, you will be able to sketch the path showing the movement of electrons on the CRO.
Remember to adjust the scale of the axes according to the maximum displacement values (A and B) to accurately represent the path of the electrons.